I think you want to use someone with a good reputation but also someone who will have a good dialogue with you once they open it up and see what is wrong. You really can't tell what needs replacing until you get inside. I would guess that Tuthill is worth a try if he is close by. He has built all sorts of interesting engines and knows how to get hp - if you are interested in gaining hp while you are rebuilding. JAZ did a great job for me. JZM are a good shop but tend to go by the book unless you clarify up front what you are looking for. Neil Bainbridge's shop is to a large extent a race shop but he is also massively experienced wit modified engines. I have no experience with the others.
I would never rebuild an engine to std specs given there are so many options to gain power for very little extra money. If you are doing a top-end only then can look at 964 cams or for a little more money build the valve train up to run 993SS cams and run at higher revs. This is really only costing you cams, valve springs and retainers (which you may decide to replace anyway) on top of the other headwork and rod bolts, perhaps. If you need P & Cs then you have much more choice. 9Ms 98mm pistons look fantastic and should allow you to go 3.4 on single plug given the shape of the piston, otherwise JE pistons in bored and replated cylinders are the most cost effective option. You can then choose any cam but you start to get into race engine territory.
If I had to do a full rebuild for a road car it would be 3.4 with 964 cams, with rod bolts and "heavy duty" rather than race valve train. This would give a safe 7,000rpm 265+hp engine with heaps of torque and a nice zippy top end. I would probably keep it on the std exhaust with a free flow muffler and SW custom chip. Any more "built" than that and you start to be restricted by the intake runners and exhaust and hence have to spend a lot more cash. You can make probably 265+hp from a 3.2 with 993SS cams and SSIs with custom chip but that's a very different engine - cammy, higher rpm peak power, poor idle, noisy.
Let us know what you plan to do.
Richard